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Police & Armed Forces · Practice Sheet 20

Sheet code: UAE-POLICE-S20 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
A invests AED 9,000 and B invests AED 9,000 for the same period. If the total profit is AED 17,000, find A's share.
Formula:Partnership (profit share)
$\text{Share}_A = \text{Profit}\times\dfrac{A}{A+B}$
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2.
Quantitative Aptitude
A can finish a job in 16 days and B in 18 days. Working together, how long will they take?
Formula:Time & Work (combined)
$T = \dfrac{xy}{x+y}$
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3.
Physics
A force of 410 N acts on an area of 16 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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4.
Quantitative Aptitude
Find the HCF and LCM of 31 and 18.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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5.
Physics
An object starts at 14 m/s and accelerates at 5 m/s² for 7 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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6.
Quantitative Aptitude
In how many ways can 4 objects be chosen from 9 distinct objects? (Find ⁿᴄᵣ for n = 9, r = 4.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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7.
Physics
A force of 714 N acts on an area of 39 m². Find the pressure.
Formula:Pressure
$P = \dfrac{F}{A}$
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8.
Quantitative Aptitude
Pipe A fills a tank in 5 hours and pipe B in 7 hours. If both are opened together, how long to fill the tank?
Formula:Pipes & Cisterns
$T = \dfrac{xy}{x+y}$
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9.
Quantitative Aptitude
Find the compound interest on AED 3,000 at 20% per annum compounded annually for 2 years.
Formula:Compound Interest
$A = P\left(1+\dfrac{R}{100}\right)^{T}$
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10.
Quantitative Aptitude
A vehicle covers 594 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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11.
Physics
A constant force of 63 N moves an object 10 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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12.
Quantitative Aptitude
A value changes from 200 to 260. Find the percentage increase.
Formula:Percentage Change
$\%\,\text{change} = \dfrac{|new-old|}{old}\times 100$
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13.
Quantitative Aptitude
In how many ways can 3 objects be arranged out of 8 distinct objects? (Find ⁿᴘᵣ for n = 8, r = 3.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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14.
Physics
A projectile is launched at 19 m/s at 45° to the horizontal. Find its range (g = 9.8 m/s²).
Formula:Projectile Range
$R = \dfrac{u^{2}\sin 2\theta}{g}$
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15.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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16.
Quantitative Aptitude
The sum of the ages of two people is 43 years, and one is 15 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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17.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 8?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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18.
Quantitative Aptitude
The sum of the ages of two people is 38 years, and one is 8 years older than the other. Find their ages.
Formula:Ages (linear equations)
$x + (x+d) = S$
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19.
Physics
A constant force of 64 N moves an object 44 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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20.
Quantitative Aptitude
Find the simple interest on AED 21,000 at 4% per annum for 2 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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